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This paper describes an interdisciplinary approach to geometry modeling of geospatial boundaries. The objective is to extract surfaces from irregular spatial patterns using differential geometry and obtain coherent directional predictions…

计算工程、金融与科学 · 计算机科学 2020-06-09 Raymond Leung

Contour maps are widely used to display estimates of spatial fields. Instead of showing the estimated field, a contour map only shows a fixed number of contour lines for different levels. However, despite the ubiquitous use of these maps,…

统计方法学 · 统计学 2016-07-11 David Bolin , Finn Lindgren

Boundary information plays a significant role in 2D image segmentation, while usually being ignored in 3D point cloud segmentation where ambiguous features might be generated in feature extraction, leading to misclassification in the…

计算机视觉与模式识别 · 计算机科学 2021-01-08 Jingyu Gong , Jiachen Xu , Xin Tan , Jie Zhou , Yanyun Qu , Yuan Xie , Lizhuang Ma

The understanding of geographical reality is a process of data representation and pattern discovery. Former studies mainly adopted continuous-field models to represent spatial variables and to investigate the underlying spatial…

机器学习 · 统计学 2018-08-30 Di Zhu , Yu Liu

Gaussian Mixture Models (GMM) do not adapt well to curved and strongly nonlinear data. However, we can use Gaussians in the curvilinear coordinate systems to solve this problem. Moreover, such a solution allows for the adaptation of…

计算机视觉与模式识别 · 计算机科学 2023-04-05 Krzysztof Byrski , Przemysław Spurek , Jacek Tabor

Molecular line emissions are commonly used to trace the distribution and properties of molecular Interstellar Medium (ISM). However, the emissions are heavily blended on the Galactic disk toward the inner Galaxy because of the relatively…

星系天体物理 · 物理学 2024-10-07 Haoran Feng , Zhiwei Chen , Zhibo Jiang , James S. Urquhart

The literature on Gaussian graphical models (GGMs) contains two equally rich and equally significant domains of research efforts and interests. The first research domain relates to the problem of graph determination. That is, the underlying…

统计方法学 · 统计学 2014-11-25 Adrian Dobra

This survey is devoted to recent developments in the statistical analysis of spherical data, with a view to applications in Cosmology. We will start from a brief discussion of Cosmological questions and motivations, arguing that most…

宇宙学与河外天体物理 · 物理学 2023-03-28 Javier Carrón Duque , Domenico Marinucci

Edges, boundaries and contours are important subjects of study in both computer graphics and computer vision. On one hand, they are the 2D elements that convey 3D shapes, on the other hand, they are indicative of occlusion events and thus…

计算机视觉与模式识别 · 计算机科学 2019-01-04 Mengtian Li , Zhe Lin , Radomir Mech , Ersin Yumer , Deva Ramanan

A good object segmentation should contain clear contours and complete regions. However, mask-based segmentation can not handle contour features well on a coarse prediction grid, thus causing problems of blurry edges. While contour-based…

计算机视觉与模式识别 · 计算机科学 2020-07-16 Junwen Chen , Yi Lu , Yaran Chen , Dongbin Zhao , Zhonghua Pang

Emission lines formed in the circumstellar envelopes of several type of stars can be modeled using first principles of line formation. We present simple ways of calculating line emission profiles formed in circumstellar envelopes having…

天体物理学 · 物理学 2016-08-15 M. L. Arias , J. Zorec , Y. Frémat

Boundary constraints in physical, environmental and engineering models restrict smooth states such as temperature to follow known physical laws at the edges of their spatio-temporal domain. Examples include fixed-state or fixed-derivative…

统计方法学 · 统计学 2025-12-05 Yue Ma , Oksana A. Chkrebtii , Stephen R. Niezgoda

Line-intensity mapping (LIM) is a promising technique to constrain the global distribution of galaxy properties. To combine LIM experiments probing different tracers with traditional galaxy surveys and fully exploit the scientific potential…

A fundamental problem in computer vision is boundary estimation, where the goal is to delineate the boundary of objects in an image. In this paper, we propose a method which jointly incorporates geometric and topological information within…

图像与视频处理 · 电气工程与系统科学 2022-06-06 Hengrui Luo , Justin Strait

The present work represents a step to deal with stellar structure using a pure geometric approach. A geometric field theory is used to construct a model for a spherically symmetric configuration. The model obtained can be considered as a…

广义相对论与量子宇宙学 · 物理学 2011-09-27 M. I. Wanas , Samah A. Ammar

Semantic segmentation of point clouds, aiming to assign each point a semantic category, is critical to 3D scene understanding.Despite of significant advances in recent years, most of existing methods still suffer from either the…

计算机视觉与模式识别 · 计算机科学 2023-06-02 Chen Chen , Yisen Wang , Honghua Chen , Xuefeng Yan , Dayong Ren , Yanwen Guo , Haoran Xie , Fu Lee Wang , Mingqiang Wei

Boundary detection has long been a fundamental tool for image processing and computer vision, supporting the analysis of static and time-varying data. In this work, we built upon the theory of Graph Signal Processing to propose a novel…

图形学 · 计算机科学 2019-09-10 Luis Gustavo Nonato , Fabiano Petronetto e Claudio Silva

Contours may be viewed as the 2D outline of the image of an object. This type of data arises in medical imaging as well as in computer vision and can be modeled as data on a manifold and can be studied using statistical shape analysis.…

应用统计 · 统计学 2017-05-17 Chalani Prematilake , Leif Ellingson

A common method for delineating urban and suburban boundaries is to identify clusters of spatial units that are highly interconnected in a network of commuting flows, each cluster signaling a cohesive economic submarket. It is critical that…

物理与社会 · 物理学 2024-05-09 Sebastian Morel-Balbi , Alec Kirkley

Given a surface with boundary and some points on its boundary, a polygon diagram is a way to connect those points as vertices of non-overlapping polygons on the surface. Such polygon diagrams represent non-crossing permutations on a surface…

组合数学 · 数学 2019-09-27 Norman Do , Jian He , Daniel V. Mathews
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